We performed numerical simulations based on the generalized nonlinear Schrödinger equation to investigate the coherence of supercontinuum (SC) generated by multi-pulse pumping with varying peak powers in all-normal dispersion (ANDi) fibers. The study explores and explains the nonlinear dynamics responsible for spectral coherence degradation at high peak powers. The results indicate that the spectral coherence of multi-pulse pumped SC is determined by the quality of the spectrum at the moment when pulses begin to overlap in the time domain. High peak powers cause noise to rapidly amplify through the coupling of stimulated Raman scattering (SRS) and four-wave mixing (FWM) during the Stage I evolution, while also accelerating pulse overlap, leading to insufficient coherent photon generation. To mitigate spectral coherence degradation in multi-pulse pumped SC generation, we propose two methods: introducing an initial chirp to the pulse pairs and employing multi-wavelength pulse pumping. Both approaches aim to introduce a frequency difference during Stage I evolution, which accelerates the generation of coherent photons between pulses, ensuring spectral coherence is maintained at the moment of pulse overlap.
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